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Finding the Third Proportional to 41,583,884,698 and 90,787,922,570

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Solution

The third proportional to 41,583,884,698 and 90,787,922,570 is: 198,212,527,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,583,884,698 : 90,787,922,570 = 90,787,922,570 : x
  2. Step 2: Convert to fraction form
    41,583,884,698/90,787,922,570 = 90,787,922,570/x
  3. Step 3: Cross multiply
    41,583,884,698x = 90,787,922,570 × 90,787,922,570
  4. Step 4: Simplify right side
    41,583,884,698x = 8,242,446,884,576,315,834,368
  5. Step 5: Solve for x
    x = 8,242,446,884,576,315,834,368/41,583,884,698
  6. Step 6: Final answer
    x = 198,212,527,387.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.